The Weights of a Random Sample of 25 Women Between $$\frac { \sigma _ { 1 } ^ { 2 } } { \sigma _ { 2 } ^ { 2 } } , \text { where } \sigma _ { 1 } ^ { 2 } \text { and } \sigma _ { 2 } ^ { 2 }$$

Essay

The weights of a random sample of 25 women between the ages of 25 and 34 had a standard deviation of 28
pounds. The weights of a random sample of 41 women between the ages of 55 and 64 had a standard
deviation of 21 pounds. Construct a 95% confidence interval for $$\frac { \sigma _ { 1 } ^ { 2 } } { \sigma _ { 2 } ^ { 2 } } , \text { where } \sigma _ { 1 } ^ { 2 } \text { and } \sigma _ { 2 } ^ { 2 }$$ are the variances of
the weights of women between the ages 25 and 34 and the weights of women between the ages of 55 and 64
respectively.